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Finding the Fourth Proportional to 313,686,482.64, 432,884,956.98 and 172,554,671.80

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Solution

The fourth proportional to 313,686,482.64, 432,884,956.98 and 172,554,671.80 is: 238,124,132.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,686,482.64 : 432,884,956.98 = 172,554,671.80 : x
  2. Step 2: Convert to fraction form
    313,686,482.64/432,884,956.98 = 172,554,671.80/x
  3. Step 3: Cross multiply
    313,686,482.64x = 432,884,956.98 × 172,554,671.80
  4. Step 4: Simplify right side
    313,686,482.64x = 74,696,321,678,841,024
  5. Step 5: Solve for x
    x = 74,696,321,678,841,024/313,686,482.64
  6. Step 6: Final answer
    x = 238,124,132.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.